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Finding the Fourth Proportional to 2,345.68, 3,518.56 and 807.76

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Solution

The fourth proportional to 2,345.68, 3,518.56 and 807.76 is: 1,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.68 : 3,518.56 = 807.76 : x
  2. Step 2: Convert to fraction form
    2,345.68/3,518.56 = 807.76/x
  3. Step 3: Cross multiply
    2,345.68x = 3,518.56 × 807.76
  4. Step 4: Simplify right side
    2,345.68x = 2,842,152.03
  5. Step 5: Solve for x
    x = 2,842,152.03/2,345.68
  6. Step 6: Final answer
    x = 1,211.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.